The measure of angle 1 is 210 degrees.
You'll have to draw an auxiliary line in between the two parallel lines.
Then, you'll have to find out the angle measures next to 100 and next to 50. Since a line is 180°, then the angle measures next to 100 and 50 are 80 and 130 respectively.
Then, since you have an auxiliary line, you can use the rule of alternate interior angles of parallel lines being equal.
Then from there just add up 80 and 130 to get you 210.
Answer:
x = 2
Step-by-step explanation:
Given
3x + 8x - 2 = 20 , that is
11x - 2 = 20 ( add 2 to both sides )
11x = 22 ( divide both sides by 11 )
x = 2
x=y+3 and 30x+80y=640 is the system of equations for given statement where x represents the number of commercials and y represent the number of movies on which Anna's songs were played.
Step-by-step explanation:
Given,
Earning for song played in commercial one time= $30
Earning for song played in movie one time = $80
Let,
x represent the number of commercials Anna's song played.
y represent the number of movies Anna's song played.
According to given statement;
Anna's songs were played on 3 more commercials than movies
x=y+3
her total earnings on the royalties from all commercials and movies was $640.
30x+80y=640
x=y+3 and 30x+80y=640 is the system of equations for given statement where x represents the number of commercials and y represent the number of movies on which Anna's songs were played.
Keywords: linear equation, substitution method
Learn more about linear equations at:
#LearnwithBrainly
Answer:
The median height of Sam and his brothers is 135.
Step-by-step explanation:
First, let's find the age of Sam's brothers:


The median height of Sam and his brothers is given by the middle number of the three values arranged from lowest to highest:
133 <u>135</u> 140
<em>Since the middle number is 135, then the median height is 135. </em>
Therefore, the median height of Sam and his brothers is 135.
I hope it helps you!
Solution:
We are going to find the distance between points A -4; 2, B 3; -5 :
d = √ (xb - xa) 2 + (yb - ya) 2 =
= √ (3 - (-4)) 2 + (-5 - 2) 2 =
= √72 + (-7) 2 = √49 + 49 =
= √98
= 7√2 ≈ 9.899494936611665